The following graph gives a taxi driver's velocity (in miles per hour) as a function of time. Assume that the driver only travels on a straight road east and west. Positive velocity indicates travel to the east, negative velocity indicates travel to the west. Assume that the driver starts their day at the airport at 6am, when $t = 0$, and that the horizontal axis of the graph gives time in hours. The areas of each of the shaded regions on the graph are:
• $A_1 = 17.5$,
• $A_2 = 37.5$,
• $A_3 = 25$,
• $A_4 = 10$
a. At approximately what time or times when they are driving (that is, when their velocity is nonzero) is the driver's acceleration 0?
t = 1,2,3,4 (Enter a time or list of times: 1, or 1, 2, 3)
b. If the taxi driver takes a break at 1 pm, how far are they from the airport at that time?
distance = 20 miles east
c. At what time is the driver farthest from the airport, and how far are they from the airport then?
At t = 2
The driver is 37.5 miles away from the airport
d. How many times after 6am does the driver pass the airport?